444331231120 has 160 divisors (see below), whose sum is σ = 1230808651776. Its totient is φ = 145967616000.

The previous prime is 444331231103. The next prime is 444331231153. The reversal of 444331231120 is 21132133444.

It is a happy number.

It is a super-2 number, since 2×444331231120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626652 + ... + 1880068.

Almost surely, 2^444331231120 is an apocalyptic number.

444331231120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444331231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615404325888).

444331231120 is an abundant number, since it is smaller than the sum of its proper divisors (786477420656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444331231120 is a wasteful number, since it uses less digits than its factorization.

444331231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253569 (or 253563 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 444331231120 its reverse (21132133444), we get a palindrome (465463364564).

The spelling of 444331231120 in words is "four hundred forty-four billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".